Implicit-Explicit Runge-Kutta Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems

DOI10.1007/978-3-540-69777-0_42zbMath1157.65443OpenAlexW2280440190MaRDI QIDQ5503110

Miloslav Vlasák, Vít Dolejší

Publication date: 12 January 2009

Published in: Numerical Mathematics and Advanced Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-69777-0_42

zbMATH Keywords

stabilityRunge-Kutta methodsemi-discretizationa priori error estimatesnonsymmetric interior penalty Galerkin methodnonstationary convection-diffusion equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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